The compound interest on a certain sum of money for $2$ years at $5 \%$ per annum is ₹ $410$. The simple interest (in ₹) on the same sum at the same rate and for the same time is:

What sum of money (in $Rs.$) at compound interest will amount to $Rs. 5305.53$ in $3$ years,if the rate of interest is $1 \%$ for the first year,$2 \%$ for the second year,and $3 \%$ for the third year?

If a sum of money placed at compound interest,compounded annually,doubles itself in $5$ years,then the same amount of money will be $8$ times of itself in how many years?

$A$ sum of money at compound interest doubles itself in $15$ years. It will become eight times of itself in (in $years$):

$A$ man borrows ₹ $4000$ from a bank at $7 \frac{1}{2} \%$ compound interest. At the end of every year,he pays ₹ $1500$ as part repayment of the loan and interest. How much does he still owe to the bank after three such instalments (in ₹)?

Nikita invested ₹ $8000$ for $3$ years at $5 \%$ $C.I.$ in a post office. If the interest is compounded once in a year,what sum (in ₹) will she get after $3$ years?